In terms of things to do - perhaps you could tell us a little more about yourself. Are you a younger person - or an older person who loves theme parks? I'm in Florida - and we have tons of older people who are great Disney fans (although I'm not one of them

).
I wouldn't rule out temples/shrines. Some - like Senso-ji - can be quite festive (and the day we were there - which was some kind of festival day - it was about as crowded as Disney on a busy day!). To make a long story short (and oversimplifying things a lot) - although people in Japan aren't for the most part "religious" as we would use that word in the United States - they belong to organized religions (more people in Japan are members of religions than there are people in Japan). Usually they're Shinto and Buddhists - and quite a few are Christians as well. Shinto is - for lack of a better word - the "fun" religion. Buddhism is more serious. Christianity best I can tell is for weddings and Christmas presents (but I'm sure I'm missing something here). Anyway - the major shrines I went to - even some more serious Buddhist ones - had a fun "theme park" feel to me (they seemed to be popular tourist destinations for Japanese people who were on vacation). And I think you'd enjoy visiting a few.
Although you said you don't like shopping - "window shopping" can be combined with great people watching. For example on Ginza on a weekend when the main street is closed to traffic and tons of people come out to walk around. It's kind of a "street festival".
Perhaps you like electronics - or anime? Lots of things to see in those categories.
I liked seeing the large train stations and riding on trains. Because - unlike theme park rides - they're very exotic to me.
If you want to be active - there are things like bicycle tours. Perhaps climbing Mt. Fuji (late August is still "high season" for climbing Mt. Fuji).
Give us some additional information - and we'll try to come up with more ideas. Robyn